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Finding the Fourth Proportional to 31,656.60, 47,441.16 and 30,710.52

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Solution

The fourth proportional to 31,656.60, 47,441.16 and 30,710.52 is: 46,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.60 : 47,441.16 = 30,710.52 : x
  2. Step 2: Convert to fraction form
    31,656.60/47,441.16 = 30,710.52/x
  3. Step 3: Cross multiply
    31,656.60x = 47,441.16 × 30,710.52
  4. Step 4: Simplify right side
    31,656.60x = 1,456,942,693.00
  5. Step 5: Solve for x
    x = 1,456,942,693.00/31,656.60
  6. Step 6: Final answer
    x = 46,023.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.